If x is odd, all EXCEPT which one of the following must be odd?

(A) \(x^2 + 4x + 6\)
(B) \(x^3 + 5x + 3\)
(C) \(x^4 + 6x + 7\)
(D) \(x^5 + 7x + 1\)
(E) \(x^6 + 8x + 4\)
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Sandy
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Explanation

For even and odd questions, you can either think it out logically or plug in a number. Since one choice requires raising the number to the 6th power, pick something small! Plug in x = 1:

(A) \(x^2 + 4x + 6 = 1 + 4 + 6 = 11\)
(B) \(x^3 + 5x + 3 = 1 + 5 + 3 = 9\)
(C) \(x^4 + 6x + 7 = 1 + 6 + 7 = 14\)
(D) \(x^5 + 7x + 1 = 1 + 7 + 1 = 9\)
(E) \(x^6 + 8x + 4 = 1 + 8 + 4 = 13\)
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Sandy
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